GCF of 6577/878, 7982/3932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6577/878, 7982/3932 i.e 1/1726148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6577/878, 7982/3932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6577/878,7982/3932?
Given fractions are 6577/878,7982/3932
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6577/878,7982/3932, numerators are 6577,7982
Denominators are 878,3932
The GCF of 6577,7982 is 1 .
LCM of 878,3932 is 1726148.
The greatest common factor of 6577/878,7982/3932 = [GCF of 6577,7982]/[LCM of 878,3932]= 1/1726148
Therefore, the GCF of 6577/878,7982/3932 is 1/1726148.
To find the highest common factor of 6577,7982, we have to find the factors of both numbers and list the highest common factor.
The factors of 6577 are 1, 6577
The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982
The HCF of 6577,7982 is 1.
Lets's calculate GCF of 6577,7982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6577,7982 By Matching Biggest Common Factor Method
Now, list down the factors of 6577
:1,6577
Now, list down the factors of 7982
:1,2,13,26,307,614,3991,7982
Greatest Common Factor
We found the factors 6577,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 6577,7982 is 1.
Lets's calculate LCM of 878,3932
| 2 | 878, 3932 |
| 439, 1966 |
∴ So the LCM of the given numbers is 2 x 439 x 1966 = 1726148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1726148
Therefore, the GCF of Fractions 6577/878,7982/3932 is 1/1726148
Least Common Multiple of 878,3932 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 878,3932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,3932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,3932) x common factors =2 x 1 = 2
LCM(878,3932) = ( 878 × 3932 ) / 2
LCM(878,3932) = 3452296 / 2
LCM(878,3932) = 1726148
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FAQs on GCF of Fractions of 6577/878, 7982/3932
1. What is the HCF of 6577,7982?
The HCF of 6577,7982 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6577/878, 7982/3932?
Answer: GCF of Numerators as per given numbers 6577/878, 7982/3932 is
GCF of Numerators i.e. for 6577,7982 is 1
LCM of denominators i.e. for 878,3932 is 1726148.
Thus, GCF of Fractions is 1/1726148.Finally, GCF of Fractions for 6577/878, 7982/3932 is 1/1726148.